Given that a truck can drive 25 miles with 4 gallons of gasoline, how many gallons does it need to drive 125 miles?

1 answer:

6 0

Hello!

First you have to find out how far the car goes on 1 gallon of gas

To find this you do the distance traveled divided by the amount of gas used

25/4 = 6.25

Next you do the amount of distance the car needs to travel divided by the distance the car goes on 1 gallon of gas

125/6.25 = 20

The car needs 20 gallons of gas to go 125 miles

The answer is 20 gallons

Hope this helps!

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Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked h

Andrews [41]

Answer:

[0.9 months, 32.69 months]

Step-by-step explanation:

The mean is

$\bf \bar x=\frac{5+17+12+21+29}{5}=16.8$

The standard deviation is

$\bf s=\sqrt{\frac{(5-16.8)^2+(17-16.8)^2+(12-16.8)^2+(21-16.8)^2+(29-16.8)^2}{5}}=8.1092$

Now, we have to find two values a and b such that the area under the Normal curve with mean 16.8 and standard deviation 8.1092 between a and b equals <em>95% = 0.95 </em>

Using a spreadsheet we find these values are

a = 0.906

b = 32.694

<h3>(See picture) </h3>

and our 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program rounded to two decimal places is

[0.9 months, 32.69 months]